At first, Simon had 24 mini cupcakes and Gabriel had 6 times as many mini cupcakes as Simon. After they each received an equal number of mini cupcakes from their neighbour, Gabriel had four times as many mini cupcakes as Simon. How many mini cupcakes did their neighbour give to both of them altogether?
| |
Simon |
Gabriel |
Difference |
| Before |
1x3 =
3 u |
6x3 =
18 u |
5x3 =
15 u |
| Change |
+ 2 u |
+ 2 u |
|
| After |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
Since both received an equal number of mini cupcakes, the difference in the number of mini cupcakes remains unchanged. LCM of 5 and 3 is 15.
3 u = 24
1 u = 24 ÷ 3 = 8
Number of mini cupcakes that each received
= 5 u - 3 u
= 2 u
Number of mini cupcakes that both of them received altogether
= 2 x 2 u
= 4 u
= 4 x 8
= 32
Answer(s): 32
